Assume that the interest rate is 5%, continuously compounded annually, and consider call and put options of both American and European style expiring in 6 months on non-dividend paying stock. For each of the following scenarios, check if you can find an arbitrage opportunity and, if you can, describe it: (i) The strike price of a European put option is $3 and the option is traded at $4. (ii) The shares are traded at $3 and the American call option is traded at $3.20.

Assume that the interest rate is 5%, continuously compounded annually, and consider call and put options of both American and European style expiring in 6 months on non-dividend paying stock. For each of the following scenarios, check if you can find an arbitrage opportunity and, if you can, describe it: (i) The strike price of a European put option is $3 and the option is traded at $4. (ii) The shares are traded at $3 and the American call option is traded at $3.20.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider a call option on one share of BP with a strike price of $70 and exercise time 1 quarter (3 months). Suppose the current stock price for BP is S(0) = $65 per share. Suppose further that A(0) = $100, A(1) = $102 and two possible prices for S(1) are S $74 with probability 0.5, S(1) = $66 with probability 0.5. Evaluate the expected returns E(Ks) and E(Kc) for the stock and the option.
The strike price of a European put option is $30, the current price of the underlying stock is $24, the risk-free nominal rate of return is 6% and every six months the stock can either increase by a factor of 1.6 or decrease by a factor of 0.5. If the probability of the stock decreasing every six months ( nd) is 0.75, calculate the price of the put option if it is priced under the Binomial Method and expires in one year. I
The stock price of Copious Corp. is currently $30. The stock price 1 year(s) from now will be either $34 or $27. The annual risk-free rate is 1.4%. Using the binomial model, what is the value of a call option with an exercise price of $30 and an expiration date 1 year(s) from now?
1. For each of the following cases, calculate (i) the cashflow paid or received today on entering the position, (ii) the gross payoff at expiry, and (iii) the net payoff from your option trading All options are European style and cover 100 shares in the underlying asset. a) You enter a long call option with a strike price of $6 and premium of $2.30. At expiry, the share price is $7.80. b) You enter a long call option with a strike price of $9 and premium of $0.80. At expiry, the share price is $7.90. c) You enter a short call option with an exercise price of $5 and premium of $0.70. The share price at expiry is $5.40. d) You enter a short call option with an exercise price of $5 and premium of $0.70. The share price at expiry is $4.90. e) You buy a long - put option with a strike price of $10 for a premium of $ 1.20. At expiry, the share price is $8.50. f) You write (i. e., short) a put option with strike price $7 for a premium of $0.60. At expiry, the share price is $5.
Consider a two - period binomial model, where each period is 6 months. Assume the stock price is $75.00, \sigma 0.35, and r = 0.05. An American call option with a strike price of $80 would be exercised early at what dividend yield? () (A) 5.0% (B) 7.0 % (C) 9.0% (D) Never exercise early
The current stock price of Chocho inc is $120. You expect the stock price a year from now to be either $160.00 or $60.00 with equal probabilities. The interest rate at which investors can borrow is 10%. Using the binomial opm, what should be the price (premium) of a call option with an exercise price of $115.00 and an expiration date one year from now?
The current price of a non-dividend paying stock is $60. Use a two-step tree to value an American put option on the stock with a strike price of $66 that expires in 2 years. Each step is 12 months, the risk free rate is 5% per annum, and the volatility is 30%. Which of the following is the closest to the option price? O $8.91 O $11.41 O $9.91 O $12.41
The market price of JS stock is currently $30. It is known that at the end of three months it will be either $33 or $27. The risk-free interest rate is 8% per annum with continuous compounding. (a) Use a one-step binomial tree to calculate the value of a three-month European put option on the JS stock with a strike price of $31? Use no-arbitrage arguments (you need to show how to set up the riskless portfolio). (b) Use the same one-step binomial tree and your results from (a) to determine the price of a three-month American put option on the JS stock with a strike price of $31
The current price of a stock is $33, and the annual risk-free rate is 4%. A call option with a strike price of $32 and with 1 year until expiration has a current value of $6.52. What is the value of a put option written on the stock with the same exercise price and expiration date as the call option? Do not round intermediate calculations. Round your answer to the nearest cent.
The current stock price is $10. In each of the next two years, the stock price can either go up by $2 or go down by $2. The stock pays no dividends. The one-year risk-free interest rate is 5% and will remain constant during this two-year period. a) Using the Binomial Model of option pricing, calculate the price of a two-year call option on the stock with a strike price of $13. b) Using Risk Neutral valuation calculate the price of two-year put option on the stock with a strike price of $7.
Consider a two-period binomial model in which a non-dividend-paying stock currently trades at £35. Over each of the next two six-month periods, the share price is expected to go up by 12% or down by 9%. The risk-free interest rate is 6% per annum with continuous compounding. Calculate the value of a one-year European put option with a strike price of £36, using a two-period binomial tree method.

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